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Finding the Third Proportional to 171,558 and 405,513

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Solution

The third proportional to 171,558 and 405,513 is: 958,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,558 : 405,513 = 405,513 : x
  2. Step 2: Convert to fraction form
    171,558/405,513 = 405,513/x
  3. Step 3: Cross multiply
    171,558x = 405,513 × 405,513
  4. Step 4: Simplify right side
    171,558x = 164,440,793,169
  5. Step 5: Solve for x
    x = 164,440,793,169/171,558
  6. Step 6: Final answer
    x = 958,514.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.